Theorems · Definition · ring theory
AddMonoid.End.mulLeft
{R : Type u_1} → [inst : NonUnitalNonAssocSemiring R] → R →+ AddMonoid.End RThe left multiplication map: (a, b) ↦ a * b. See also AddMonoidHom.mulLeft.
- Defined in
- Mathlib.Algebra.Ring.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- AddMonoid.Endstatement · cited by 64
- AddMonoidHom.mulproof · cited by 7
Cited by12
Results whose statement or proof uses this declaration.
- commute_lmul_lmul_sqstatement · cited by 2
- CentroidHom.centerToCentroidCenterproof · cited by 2
- AddMonoid.End.mulRight_eq_mulLeftstatement · cited by 1
- NonUnitalNonAssocSemiring.mem_center_iffstatement and proof · cited by 1
- CentroidHom.centroid_eq_centralizer_mulLeftRightstatement and proof · cited by 1
- AddMonoid.End.mulLeft_apply_applystatement and proof · cited by 0
- NonUnitalNonAssocCommSemiring.mem_center_iffstatement and proof · cited by 0
- two_nsmul_lie_lmul_lmul_add_add_eq_zerostatement and proof · cited by 0
- two_nsmul_lie_lmul_lmul_add_eq_lie_lmul_lmul_addstatement and proof · cited by 0
- commute_lmul_rmulstatement · cited by 0
- commute_lmul_rmul_sqstatement · cited by 0
- commute_lmul_sq_rmulstatement · cited by 0